Here’s a simple fractal created by dividing an equilateral triangle into smaller equilateral triangles, then discarding (and rotating) some of those sub-triangles, then doing the same to the sub-triangles:

Fractangle (triangle-fractal) (stage 1)

Fractangle #2

Fractangle #3

Fractangle #4

Fractangle #5

Fractangle #6

Fractangle #7

Fractangle #8

Fractangle #9

Fractangle (animated)

I’ve used the same fractangle to create this shape, which is variously known as a swastika (from Sanskrit *svasti*, “good luck, well-being”), a gammadion (four Greek Γs arranged in a circle) or a fylfot (from the shape being used to “fill the foot” of a stained glass window in Christian churches):

Trifylfot

Because it’s a fylfot created ultimately from a triangle, I’m calling it a trifylfot (TRIFF-ill-fot). Here’s how you make it:

Trifylfot (stage 1)

Trifylfot #2

Trifylfot #3

Trifylfot #4

Trifylfot #5

Trifylfot #6

Trifylfot #7

Trifylfot #8

Trifylfot #9

Trifylfot (animated)

And here are more trifylfots created from various forms of fractangle:

**Elsewhere other-accessible**

• Fractangular Frolics — more on fractals from triangles